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Finding the Fourth Proportional to 8,291.12, 11,441.28 and 4,754

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Solution

The fourth proportional to 8,291.12, 11,441.28 and 4,754 is: 6,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.12 : 11,441.28 = 4,754 : x
  2. Step 2: Convert to fraction form
    8,291.12/11,441.28 = 4,754/x
  3. Step 3: Cross multiply
    8,291.12x = 11,441.28 × 4,754
  4. Step 4: Simplify right side
    8,291.12x = 54,391,845.12
  5. Step 5: Solve for x
    x = 54,391,845.12/8,291.12
  6. Step 6: Final answer
    x = 6,560.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.